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This article analyzes the recovery performance of two popular finite dimensional approximations of the sparse spikes deconvolution problem over Radon measures. We examine in a unified framework both the L1 regularization (often referred to…

信息论 · 计算机科学 2015-03-31 Vincent Duval , Gabriel Peyré

The problem of 1-bit compressive sampling is addressed in this paper. We introduce an optimization model for reconstruction of sparse signals from 1-bit measurements. The model targets a solution that has the least l0-norm among all signals…

信息论 · 计算机科学 2013-02-07 Lixin Shen , Bruce W. Suter

We propose a new method for reconstruction of sparse signals with and without noisy perturbations, termed the subspace pursuit algorithm. The algorithm has two important characteristics: low computational complexity, comparable to that of…

数值分析 · 计算机科学 2009-01-08 Wei Dai , Olgica Milenkovic

This paper focuses on the estimation of low-complexity signals when they are observed through $M$ uniformly quantized compressive observations. Among such signals, we consider 1-D sparse vectors, low-rank matrices, or compressible signals…

Noiseless compressive sensing is a protocol that enables undersampling and later recovery of a signal without loss of information. This compression is possible because the signal is usually sufficiently sparse in a given basis. Currently,…

信息论 · 计算机科学 2024-07-22 D. Barbier , C Lucibello , L. Saglietti , F. Krzakala , L. Zdeborova

A compressed sensing method consists of a rectangular measurement matrix, $M \in \mathbbm{R}^{m \times N}$ with $m \ll N$, together with an associated recovery algorithm, $\mathcal{A}: \mathbbm{R}^m \rightarrow \mathbbm{R}^N$. Compressed…

信息论 · 计算机科学 2013-02-26 M. A. Iwen

The bound that arises out of sparse recovery analysis in compressed sensing involves input signal sparsity and some property of the sensing matrix. An effort has therefore been made in the literature to optimize sensing matrices for optimal…

信息论 · 计算机科学 2017-07-12 Alankar Kotwal , Ajit Rajwade

This paper presents an analysis of target localization accuracy, attainable by the use of MIMO (Multiple-Input Multiple-Output) radar systems, configured with multiple transmit and receive sensors, widely distributed over a given area. The…

信息论 · 计算机科学 2016-11-18 Hana Godrich , Alexander M. Haimovich , Rick S. Blum

The goal of Sparse Convex Optimization is to optimize a convex function $f$ under a sparsity constraint $s\leq s^*\gamma$, where $s^*$ is the target number of non-zero entries in a feasible solution (sparsity) and $\gamma\geq 1$ is an…

机器学习 · 计算机科学 2020-06-26 Kyriakos Axiotis , Maxim Sviridenko

We study compressive sensing in the spatial domain to achieve target localization, specifically direction of arrival (DOA), using multiple-input multiple-output (MIMO) radar. A sparse localization framework is proposed for a MIMO array in…

信息论 · 计算机科学 2014-07-03 Marco Rossi , Alexander M. Haimovich , Yonina C. Eldar

Differential spatial modulation (DSM) exploits the time dimension to facilitate the differential modulation, which can perfectly avoid the challenge in acquiring of heavily entangled channel state information of visible light communication…

信号处理 · 电气工程与系统科学 2024-09-11 Zichun Shi , Pu Miao , Peng Chen , Lei Xue , Li-Yang Zheng , Laiyuan Wang , Gaojie Chen

Within the Compressive Sensing (CS) paradigm, sparse signals can be reconstructed based on a reduced set of measurements. Reliability of the solution is determined by the uniqueness condition. With its mathematically tractable and feasible…

信息论 · 计算机科学 2021-07-07 Ljubisa Stankovic , Milos Brajovic , Danilo Mandic , Isidora Stankovic , Milos Dakovic

Machine learning and artificial intelligence algorithms typically require large amount of data for training. This means that for nonlinear aeroelastic applications, where small training budgets are driven by the high computational burden…

流体动力学 · 物理学 2024-07-12 Michael Candon , Errol Hale , Maciej Balajewicz , Arturo Delgado-Gutierrez , Pier Marzocca

The simultaneous orthogonal matching pursuit (SOMP) algorithm aims to find the joint support of a set of sparse signals acquired under a multiple measurement vector model. Critically, the analysis of SOMP depends on the maximal inner…

信息论 · 计算机科学 2016-10-14 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

Standard Bayesian Optimization (BO) assumes uniform smoothness across the search space an assumption violated in multi-regime problems such as molecular conformation search through distinct energy basins or drug discovery across…

机器学习 · 计算机科学 2026-01-29 Yan Zhang , Xuefeng Liu , Sipeng Chen , Sascha Ranftl , Chong Liu , Shibo Li

Motivated by the philosophy and phenomenal success of compressed sensing, the problem of reconstructing a matrix from a sampling of its entries has attracted much attention recently. Such a problem can be viewed as an information-theoretic…

信息论 · 计算机科学 2009-05-15 Zhisu Zhu , Anthony Man-Cho So , Yinyu Ye

Coherent Ising Machine (CIM) is a network of optical parametric oscillators that can solve large-scale combinatorial optimisation problems by finding the ground state of an Ising Hamiltonian. As a practical application of CIM, Aonishi et…

The problem of clustering noisy and incompletely observed high-dimensional data points into a union of low-dimensional subspaces and a set of outliers is considered. The number of subspaces, their dimensions, and their orientations are…

机器学习 · 统计学 2015-08-24 Reinhard Heckel , Helmut Bölcskei

In this paper, we present a novel yet simple homotopy proximal mapping algorithm for compressive sensing. The algorithm adopts a simple proximal mapping of the $\ell_1$ norm at each iteration and gradually reduces the regularization…

信息论 · 计算机科学 2016-08-29 Tianbao Yang , Lijun Zhang , Rong Jin , Shenghuo Zhu , Zhi-Hua Zhou

The problem of super-resolution compressive sensing (SR-CS) is crucial for various wireless sensing and communication applications. Existing methods often suffer from limited resolution capabilities and sensitivity to hyper-parameters,…

信号处理 · 电气工程与系统科学 2025-08-12 Yufan Zhou , Jingyi Li , Wenkang Xu , An Liu